This CRF polychoron is obtained by augmenting all the pips of sniddip with according pyramids, i.e. with pippies.

Accordingly the edge size y of the medial vertex layer y-ike clearly can be obtained from ((pentagon inradius of snid)+(height of pippy))/(circumradius of unit ike), i.e. approximately y ≈ 2.253679.

Incidence matrix according to Dynkin symbol

sys3sos5sos&#xt both heights = 1/2

demi( o..3o..5o..     ) | 60  *  * |  1  2  2  1  1  0  0  0  0 |  1  1  3  2  1  2  2  1  0  0  0  0 | 1  1  2  1  3  0 0
      .o.3.o.5.o.       |  * 12  * ♦  0  0  0  5  0  5  0  0  0 |  0  0  0  5  0  0  0  5  5  0  0  0 | 0  1  5  0  0  1 0
demi( ..o3..o5..o     ) |  *  * 60 |  0  0  0  0  1  1  1  2  2 |  0  0  0  0  1  2  2  1  2  1  1  3 | 0  0  2  1  3  1 1
------------------------+----------+----------------------------+-------------------------------------+-------------------
      s.. .2. s..       |  2  0  0 | 30  *  *  *  *  *  *  *  * |  0  0  2  0  1  0  0  0  0  0  0  0 | 1  0  0  0  2  0 0
sefa( s..3s.. ...     ) |  2  0  0 |  * 60  *  *  *  *  *  *  * |  1  0  1  0  0  1  0  0  0  0  0  0 | 1  0  0  1  1  0 0
sefa( ... s..5s..     ) |  2  0  0 |  *  * 60  *  *  *  *  *  * |  0  1  1  1  0  0  1  0  0  0  0  0 | 1  1  1  0  1  0 0
demi( oo.3oo.5oo.&#x  ) |  1  1  0 |  *  *  * 60  *  *  *  *  * |  0  0  0  2  0  0  0  1  0  0  0  0 | 0  1  2  0  0  0 0
demi( o.o3o.o5o.o&#x  ) |  1  0  1 |  *  *  *  * 60  *  *  *  * |  0  0  0  0  1  2  2  1  0  0  0  0 | 0  0  2  1  3  0 0
demi( .oo3.oo5.oo&#x  ) |  0  1  1 |  *  *  *  *  * 60  *  *  * |  0  0  0  0  0  0  0  1  2  0  0  0 | 0  0  2  0  0  1 0
      ..s .2. ..s       |  0  0  2 |  *  *  *  *  *  * 30  *  * |  0  0  0  0  1  0  0  0  0  0  0  2 | 0  0  0  0  2  0 1
sefa( ..s3..s ...     ) |  0  0  2 |  *  *  *  *  *  *  * 60  * |  0  0  0  0  0  1  0  0  0  1  0  1 | 0  0  0  1  1  0 1
sefa( ... ..s5..s     ) |  0  0  2 |  *  *  *  *  *  *  *  * 60 |  0  0  0  0  0  0  1  0  1  0  1  1 | 0  0  1  0  1  1 1
------------------------+----------+----------------------------+-------------------------------------+-------------------
      s..3s.. ...       |  3  0  0 |  0  3  0  0  0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  1  0  0 0
      ... s..5s..       |  5  0  0 |  0  0  5  0  0  0  0  0  0 |  * 12  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0  0 0
sefa( s..3s..5s..     ) |  3  0  0 |  1  1  1  0  0  0  0  0  0 |  *  * 60  *  *  *  *  *  *  *  *  * | 1  0  0  0  1  0 0
sefa( ... so.5so.&#x  ) |  2  1  0 |  0  0  1  2  0  0  0  0  0 |  *  *  * 60  *  *  *  *  *  *  *  * | 0  1  1  0  0  0 0
      s.s .2. s.s&#x    |  2  0  2 |  1  0  0  0  2  0  1  0  0 |  *  *  *  * 30  *  *  *  *  *  *  * | 0  0  0  0  2  0 0
sefa( s.s3s.s ...&#x  ) |  2  0  2 |  0  1  0  0  2  0  0  1  0 |  *  *  *  *  * 60  *  *  *  *  *  * | 0  0  0  1  1  0 0
sefa( ... s.s5s.s&#x  ) |  2  0  2 |  0  0  1  0  2  0  0  0  1 |  *  *  *  *  *  * 60  *  *  *  *  * | 0  0  1  0  1  0 0
demi( ooo3ooo5ooo&#x  ) |  1  1  1 |  0  0  0  1  1  1  0  0  0 |  *  *  *  *  *  *  * 60  *  *  *  * | 0  0  2  0  0  0 0
sefa( ... .os5.os&#x  ) |  0  1  2 |  0  0  0  0  0  2  0  0  1 |  *  *  *  *  *  *  *  * 60  *  *  * | 0  0  1  0  0  1 0
      ..s3..s ...       |  0  0  3 |  0  0  0  0  0  0  0  3  0 |  *  *  *  *  *  *  *  *  * 20  *  * | 0  0  0  1  0  0 1
      ... ..s5..s       |  0  0  5 |  0  0  0  0  0  0  0  0  5 |  *  *  *  *  *  *  *  *  *  * 12  * | 0  0  0  0  0  1 1
sefa( ..s3..s5..s     ) |  0  0  3 |  0  0  0  0  0  0  1  1  1 |  *  *  *  *  *  *  *  *  *  *  * 60 | 0  0  0  0  1  0 1
------------------------+----------+----------------------------+-------------------------------------+-------------------
      s..3s..5s..       ♦ 60  0  0 | 30 60 60  0  0  0  0  0  0 | 20 12 60  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  * *
      ... so.5so.&#x    ♦  5  1  0 |  0  0  5  5  0  0  0  0  0 |  0  1  0  5  0  0  0  0  0  0  0  0 | * 12  *  *  *  * *
sefa( ... sos5sos&#x  ) ♦  2  1  2 |  0  0  1  2  2  2  0  0  1 |  0  0  0  1  0  0  1  2  1  0  0  0 | *  * 60  *  *  * *
      s.s3s.s ...&#x    ♦  3  0  3 |  0  3  0  0  3  0  0  3  0 |  1  0  0  0  0  3  0  0  0  1  0  0 | *  *  * 20  *  * *
sefa( s.s3s.s5s.s&#x  ) ♦  3  0  3 |  1  1  1  0  3  0  1  1  1 |  0  0  1  0  1  1  1  0  0  0  0  1 | *  *  *  * 60  * *
      ... .os5.os&#x    ♦  0  1  5 |  0  0  0  0  0  5  0  0  5 |  0  0  0  0  0  0  0  0  5  0  1  0 | *  *  *  *  * 12 *
      ..s3..s5..s       ♦  0  0 60 |  0  0  0  0  0  0 30 60 60 |  0  0  0  0  0  0  0  0  0 20 12 60 | *  *  *  *  *  * 1

sy3so5so xo&#zx

demi( o..3o..5o..     ) & | 120  * |  1   2   2   1  2 |  1  1   3   2  1  2  2  1 | 1  1  2  1  3
      .o.3.o.5.o.         |   * 12 ♦  0   0   0  10  0 |  0  0   0  10  0  0  0  5 | 0  2  5  0  0
--------------------------+--------+-------------------+---------------------------+--------------
      s.. .2. s..       & |   2  0 | 60   *   *   *  * |  0  0   2   0  1  0  0  0 | 1  0  0  0  2
sefa( s..3s.. ...     ) & |   2  0 |  * 120   *   *  * |  1  0   1   0  0  1  0  0 | 1  0  0  1  1
sefa( ... s..5s..     ) & |   2  0 |  *   * 120   *  * |  0  1   1   1  0  0  1  0 | 1  1  1  0  1
demi( oo.3oo.5oo.&#x  ) & |   1  1 |  *   *   * 120  * |  0  0   0   2  0  0  0  1 | 0  1  2  0  0
demi( o.o3o.o5o.o&#x  )   |   2  0 |  *   *   *   * 60 |  0  0   0   0  1  2  2  1 | 0  0  2  1  3
--------------------------+--------+-------------------+---------------------------+--------------
      s..3s.. ...       & |   3  0 |  0   3   0   0  0 | 40  *   *   *  *  *  *  * | 1  0  0  1  0
      ... s..5s..       & |   5  0 |  0   0   5   0  0 |  * 24   *   *  *  *  *  * | 1  1  0  0  0
sefa( s..3s..5s..     ) & |   3  0 |  1   1   1   0  0 |  *  * 120   *  *  *  *  * | 1  0  0  0  1
sefa( ... so.5so.&#x  ) & |   2  1 |  0   0   1   2  0 |  *  *   * 120  *  *  *  * | 0  1  1  0  0
      s.s .2. s.s&#x      |   4  0 |  2   0   0   0  2 |  *  *   *   * 30  *  *  * | 0  0  0  0  2
sefa( s.s3s.s ...&#x  )   |   4  0 |  0   2   0   0  2 |  *  *   *   *  * 60  *  * | 0  0  0  1  1
sefa( ... s.s5s.s&#x  )   |   4  0 |  0   0   2   0  2 |  *  *   *   *  *  * 60  * | 0  0  1  0  1
demi( ooo3ooo5ooo&#x  )   |   2  1 |  0   0   0   2  1 |  *  *   *   *  *  *  * 60 | 0  0  2  0  0
--------------------------+--------+-------------------+---------------------------+--------------
      s..3s..5s..       & ♦  60  0 | 30  60  60   0  0 | 20 12  60   0  0  0  0  0 | 2  *  *  *  *
      ... so.5so.&#x    & ♦   5  1 |  0   0   5   5  0 |  0  1   0   5  0  0  0  0 | * 24  *  *  *
sefa( ... sos5sos&#x  )   ♦   4  1 |  0   0   2   4  2 |  0  0   0   2  0  0  1  2 | *  * 60  *  *
      s.s3s.s ...&#x      ♦   6  0 |  0   6   0   0  3 |  2  0   0   0  0  3  0  0 | *  *  * 20  *
sefa( s.s3s.s5s.s&#x  )   ♦   6  0 |  2   2   2   0  3 |  0  0   2   0  1  1  1  0 | *  *  *  * 60